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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 55, 2009 - Issue 5
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Original Articles

Numerical Method of the Ray Tracing-Node Analyzing Method for Solving 2-D Transient Coupled Heat Transfer in a Rectangular Semitransparent Medium

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Pages 465-486 | Received 23 Aug 2008, Accepted 10 Jan 2009, Published online: 06 Mar 2009

REFERENCES

  • K. H. Lee and R. Viskanta , Transient Conductive−Radiative Cooling of an Optical Quality Glass Disk , Int. J. Heat Mass Transfer , vol. 41 , pp. 2083 – 2096 , 1998 .
  • R. Siegel , Transient Thermal Analysis of a Translucent Thermal Barrier Coating on a Metal Wall , ASME J. Heat Transfer , vol. 121 , pp. 478 – 481 , 1999 .
  • J. L. Cordova and A. C. Fernandez-Pello , Convection Effects on the Endothermic Gasification and Piloted Ignition of a Radiatively Heated Combustible Solid , Comb. Sci. Tech. , vol. 156 , pp. 271 – 289 , 2000 .
  • H. P. Tan and M. Lallemand , Transient Radiative–Conductive Heat Transfer in Flat Glasses Submitted to Temperature, Flux and Mixed Boundary Conditions , Int. J. Heat Mass Transfer , vol. 32 , pp. 795 – 810 , 1989 .
  • H. P. Tan , L. M. Ruan , X. L. Xia , Q. Z. Yu , and T. W. Tong , Transient Coupled Radiative and Conductive Heat Transfer in an Absorbing, Emitting and Scattering Medium , Int. J. Heat Mass Transfer , vol. 42 , pp. 2967 – 2980 , 1999 .
  • H. P. Tan , H. L. Yi , P. Y. Wang , L. M. Ruan , and T. W. Tong , Ray Tracing Method for Transient Coupled Heat Transfer in an Anisotropic Scattering Layer , Int. J. Heat Mass Transfer , vol. 47 , pp. 4045 – 4059 , 2004 .
  • H. L. Yi , H. P. Tan , and Y. P. Lu , Effect of Reflecting Modes on Combined Heat Transfer Within an Anisotropic Scattering Slab , J. Quant. Spectrosc. Radiat. Transfer , vol. 95 , pp. 1 – 20 , 2005 .
  • H. L. Yi , M. Xie , and H. P. Tan , Ray Tracing Method for Radiative Heat Transfer within a Two-Layer Anisotropic Scattering Medium, Numer. Heat Transfer A , vol. 54, pp. 481–506, 2008.
  • H. L. Yi and H. P. Tan , Transient Radiative Heat Transfer in an Inhomogeneous Participating Medium with Fresnel's Surfaces , Science in China Series E-Technological Sciences , vol. 51 , pp. 1110 – 1124 , 2008 .
  • J. F. Luo , S. L. Chang , J. K. Yan , X. Shen , and G. Inoussa , Transient Coupled Heat Transfer in a Rectangular Medium with Black Surfaces , J. Quant. Spectrosc. Radiat. Transfer , vol. 109 , pp. 2603 – 2612 , 2008 .
  • S. C. Mishra , P. Talukdar , D. Trimis , and F. Durst , Computational Efficiency Improvements of the Radiative Transfer Problems with or without Conduction—A Comparion of the Collapsed Dimension method and the Discrete Transfer Method , Int. J. Heat Mass Transfer , vol. 46 , pp. 3083 – 3095 , 2003 .
  • S. C. Mishra , A. Lankadasu , and K. N. Beronov , Application of the Lattice Boltzmann Method for Solving the Energy Equation of a 2-D Transient Conduction-Radiation Problem , Int. J. Heat Mass Transfer , vol. 48 , pp. 3648 – 3659 , 2005 .
  • S. C. Mishra , P. Talukdar , D. Trimis , and F. Durst , Two-Dimensional Transient Conduction and Radiation Heat Transfer with Temperature Dependent Thermal Conductivity , Int. Comm. in Heat Mass Transfer , vol. 32 , pp. 305 – 314 , 2005 .
  • S. C. Mishra and H. K. Roy , Solving Transient Conduction and Radiation Heat Transfer Problems Using the Lattice Boltzman Method and the Finite Volume Method , J. Comput. Phys. , vol. 223 , pp. 89 – 107 , 2007 .
  • P. Furmanski and J. Banaszek , Finite Element Analysis of Concurrent Radiation and Conduction in Participating Mediea , J. Quant. Spectrosc. Radiat. Transfer , vol. 84 , pp. 563 – 573 , 2004 .
  • V. Feldheim and P. Lybaert , Solution of Radiative Heat Transfer Problem with Discrete Transfer Method Applied to Triangular Meshes , J. Comput. App. Mathe. , vol. 168 , pp. 179 – 190 , 2004 .
  • F. Asllanaj , V. Feldheim , and P. Lybaert , Solution of Radiative Heat Transfer in 2-D Geometris by a Modified Finite-Volume Method Based on a Cell Vertex Scheme Using Unstructured Triangular Meshes , Numer. Heat Transfer B , vol. 51 , pp. 97 – 119 , 2007 .
  • F. Asllanaj , G. Parent , and G. Jeandel , Transient Radiation and Conduction Heat Transfer in a Gray Absorbing-Emitting Medium Applied on Two-Dimensional Complex-Shaped Domains , Numer. Heat Transfert B , vol. 52 , pp. 179 – 200 , 2007 .
  • T. Y. Kim and S. W. Baek , Analysis of Combined Conductive and Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure Using the Discrete Ordinate Method , Int. J. Heat Mass Transfer , vol. 34 , pp. 2265 – 2273 , 1991 .
  • R. Vaillon , M. Lallemand , and D. Lemonnier , Radiative Heat Transfer in Orthogonal Curvilinear Coordinates Using the Discrete Ordinates Methods , J. Quant. Spectrosc. Radiat. Transfer , vol. 55 , pp. 7 – 17 , 1996 .
  • M. Sakami , A. Charette and V. L. Dez , Application of the Discrete Ordinates Method to Combined Conductive and Radiative Heat Transfer in a Two-Dimensional Complex , J. Quant. Spectrosc. Radiat. Transfer , vol. 56 , pp. 517 – 513 , 1996 .
  • L. H. Liu and H. P. Tan , Transient Radiation and Conduction in a Two Dimensional Participating Cylinder Subjected to a Pulse Irradiation , Int. J. Therm. Sci ., vol. 40 , pp. 877 – 889 , 2001 .
  • R. Viskanta and K. H. Lee , Two-Dimensional Combined Conduction and Radiation Heat Transfer: Comparison of the Discrete Ordinate Method and the Diffusion Approximation Methods , Numer. Heat Transfer A , vol. 39 , pp. 205 – 225 , 2001 .
  • D. Lacroix , G. Parent , F. Asllanaj , and G. Jeandel , Coupled Radiative and Conductive Heat Transfer in a Non-Grey Absorbing and Emitting Semitransparent Media under Collimated Radiatipon , J. Quant. Spectrosc. Radiat. Transfer , vol. 75 , pp. 589 – 609 , 2002 .
  • S. K. Mahapatra and S. B. Mahapatra , Numerical Modeling of Combined Conductive and Radiative Heat Transfer within Square Enclosure using Discrete Ordinate Method, Heat Mass Transfer , vol. 40, pp. 533–538, 2004.
  • K. A. R. Ismail and C. T. S. Salinas , Gray Radiative Conductive 2-D Modeling Using Discrete Ordinates Method with Multidimensional Spatial Scheme and Non-Uniform Grid , Int. J. Therm. Sci ., vol. 45 , pp. 706 – 715 , 2006 .
  • W. Q. Tao , Numerical Heat Transfer , Xi'an Jiaotong University Press, Xi'an, 2001 .
  • H. P. Tan , X. L. Xia , L. H. Liu , and L. M. Ruan , Numerical Calculation of Infrared Radiative Property and Transmission—Numerical Radiation , Harbin Institue of Technology Press, Beihang University Press, Beijing Institute of Technology Press, Northwestern Polytechnical University Press, Harbin Engneering University Press , 2006 .

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